| 环型二元序列的赋权对换排序问题 |
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| 引用本文： | 亓兴勤,曹静,张晨. 环型二元序列的赋权对换排序问题[J]. 山东大学学报(理学版), 2007, 42(12): 46-48 |
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| 作者姓名： | 亓兴勤 曹静 张晨 |
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| 作者单位： | 山东大学威海分校,数学系,山东,威海,264209;燕山大学,理学院,河北,秦皇岛,066004;山东大学威海分校,国有资产管理处,山东,威海,264209 |
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| 基金项目： | 山东大学威海分校科研启动基金 |
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| 摘 要： | 研究了环型二元序列的赋权对换排序问题。定义一个长度为l的对换的费用是f(l)=lα,0≤α<1,对环型二元序列的赋权对换排序问题给出了一个O(logn)近似算法,其中n是环型二元序列的长度。
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| 关 键 词： | 环型二元序列 对换 近似算法 |
| 文章编号： | 1671-9352（2007）12-0046-03 |
| 收稿时间： | 2007-06-13 |
| 修稿时间： | 2007-06-13 |
Sorting circular binary strings with length weighted transpositions |
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| QI Xing-qin,CAO Jing,ZHANG Chen. Sorting circular binary strings with length weighted transpositions[J]. Journal of Shandong University, 2007, 42(12): 46-48 |
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| Authors: | QI Xing-qin CAO Jing ZHANG Chen |
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| Affiliation: | 1. Department of Mathematics, Shandong University at Weihai, Weihai264209;2. College of Science, Yanshan University, Qinhuangdao 066004;3. State Owned Assets Supervision and Administration Faculty, Shandong Univerisity at Weihai |
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| Abstract: | The problem of sorting circular binary strings with length-weighted transpositions was considered, i.e. the cost of a transposition is f(l)=lα,0≤α<1, where l is the length of the transposition. An O(logn)approximation algorithm is given for sorting a circular binary string with the minimum cost, where n is the length of the circular string. The result has direct applications in computational biology in the field of comparative genomics. |
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| Keywords: | circular binary string transposition approximation algorithm |
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